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Computing arrangements of hypersurfaces

Paul Breiding, Bernd Sturmfels and Kexin Wang
Vol. 15 (2025), 11–27
DOI: 10.2140/jsag.2025.15.11
Abstract

We present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in ℝn.

Keywords
hypersurface arrangement, Morse theory, Euler characteristic
Mathematical Subject Classification
Primary: 14Q30, 57R19, 68-04
Supplementary material

HypersurfaceRegions.jl
Milestones
Received: 20 September 2024
Revised: 30 December 2024
Accepted: 27 February 2025
Published: 12 April 2025
Authors
Paul Breiding
University of Osnabrück
Osnabrück
Germany
Bernd Sturmfels
Max Planck Institute for Mathematics in the Sciences
Leipzig
Germany
Kexin Wang
Kexin Wang
Harvard University
Cambridge, MA
United States
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